World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
30
Citations
4700
World Ranking
3470
National Ranking
215

Overview

Lutz Volkmann is affiliated with RWTH Aachen University in Germany and has contributed extensively to the field of computer science, particularly focusing on computational theory and mathematics. Their research encompasses a broad range of topics related to advanced graph theory and its applications.

The scientist's main fields of study fall under computer science, with a significant concentration on computational theory and mathematics. Subfields include:

  • Computational Theory and Mathematics
  • Computer Networks and Communications
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Economics and Econometrics

Volkmann's work addresses several core topics, reflecting a deep engagement with graph theory and optimization problems:

  • Advanced Graph Theory Research
  • Complexity and Algorithms in Graphs
  • Graph Labeling and Dimension Problems
  • Graph theory and applications
  • Limits and Structures in Graph Theory
  • Optimization and Search Problems
  • Interconnection Networks and Systems

In recent years, Volkmann has authored and contributed to multiple publications including:

  • "Varieties of Roman domination II," 2020, AKCE International Journal of Graphs and Combinatorics
  • "The Roman domatic problem in graphs and digraphs: a survey," 2020, Discussiones Mathematicae Graph Theory
  • "Roman 3-domination (double Italian domination)," 2020, Discrete Applied Mathematics
  • "Total double Roman domination in graphs," 2020, DOAJ (DOAJ: Directory of Open Access Journals)
  • "Graphs with Large Italian Domination Number," 2020, Bulletin of the Malaysian Mathematical Sciences Society

The frequent venues in which Volkmann publishes research include:

  • AKCE International Journal of Graphs and Combinatorics
  • DOAJ (DOAJ: Directory of Open Access Journals)
  • Communications in combinatorics and optimization
  • arXiv (Cornell University)
  • Discussiones Mathematicae Graph Theory

Collaboration plays a role in Volkmann's work, with numerous joint projects alongside key coauthors such as:

  • Seyed Mahmoud Sheikholeslami
  • Doost Ali Mojdeh
  • Mustapha Chellali
  • Yubao Guo
  • Nader Jafari Rad

Best Publications

  • Einführung in die Theorie der ganzen und meromorphen Funktionen mit Anwendungen auf Differentialgleichungen

    Gerhard Jank;Lutz Volkmann

  • Wiener index versus maximum degree in trees

    Miranca Fischermann;Arne Hoffmann;Dieter Rautenbach;László Székely

  • Maximally edge-connected and vertex-connected graphs and digraphs: A survey

    Angelika Hellwig;Lutz Volkmann

  • k -Domination and k -Independence in Graphs: A Survey

    Mustapha Chellali;Odile Favaron;Adriana Hansberg;Lutz Volkmann

  • Edge-cuts leaving components of order at least three

    Paul Bonsma;Nicola Ueffing;Lutz Volkmann

  • Meromorphe funktionen, die mit ihrer ersten und zweiten ableitung einen endlichen wert teilen

    Gerhard Jank;Erwin Mues;Lutz Volkmann

  • A classification of locally semicomplete digraphs

    Jørgen Bang-Jensen;Yubao Guo;Gregory Gutin;Lutz Volkmann

  • Extremal Chemical Trees

    Miranca Fischermann;Ivan Gutman;Arne Hoffmann;Dieter Rautenbach

  • Sufficient conditions for graphs to be λ′-optimal, super-edge-connected, and maximally edge-connected

    Angelika Hellwig;Lutz Volkmann

  • Cycles in multipartite tournaments: results and problems

    Lutz Volkmann

  • Varieties of Roman domination II

    Unknown

  • Sufficient conditions for λ′-optimality in graphs of diameter 2

    Angelika Hellwig;Lutz Volkmann

  • Total Roman domination number of trees

    Lutz Volkmann;S. M. Sheikholeslami;S. Nazari-Moghaddam;Jafar Amjadi

  • Roman Domination in Graphs

    Mustapha Chellali;Nader Jafari Rad;Seyed Mahmoud Sheikholeslami;Lutz Volkmann

  • New bounds on the k-domination number and the k-tuple domination number

    Dieter Rautenbach;Lutz Volkmann

  • On k-domination and minimum degree in graphs

    Odile Favaron;Adriana Hansberg;Lutz Volkmann

  • Fundamente der Graphentheorie

    Lutz Volkmann

  • The k-rainbow domatic number of a graph

    Seyed Mahmoud Sheikholeslami;Lutz Volkmann

  • Varieties of Roman domination II

    M. Chellali;N. Jafari Rad;S. M. Sheikholeslami;Lutz Volkmann

  • Note: Inverse degree and edge-connectivity

    Peter Dankelmann;Angelika Hellwig;Lutz Volkmann

  • Multipartite tournaments: A survey

    Lutz Volkmann

  • Vertex pancyclic graphs

    Bert Randerath;Ingo Schiermeyer;Meike Tewes;Lutz Volkmann

  • Upper bounds on the k-domination number and the k-Roman domination number

    Adriana Hansberg;Lutz Volkmann

Frequent Co-Authors

Teresa W. Haynes
Teresa W. Haynes East Tennessee State University
Michael A. Henning
Michael A. Henning University of Johannesburg
Anders Yeo
Anders Yeo University of Southern Denmark
Ivan Gutman
Ivan Gutman University of Kragujevac
Gregory Gutin
Gregory Gutin Royal Holloway University of London
Paul L. Butzer
Paul L. Butzer RWTH Aachen University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Pursuing Mathematics in the USA opens doors to various related online degrees and career options. For those passionate about data and trends, a data analytics master's degree is an excellent pathway. It blends statistical skills with computational techniques, preparing graduates for high-demand roles in technology and finance.

Mathematics graduates aiming to expand their leadership and business acumen might consider MBA programs. Finding the right fit is crucial; resources highlighting the easiest mba program can help prospective students identify manageable yet reputable options.

Additionally, many choose flexible learning with an easiest online mba to balance education with work commitments. Such programs provide accessible routes into business leadership without compromising content quality.

For professionals focused on research and advanced business strategy, exploring dba programs online offers an affordable way to earn a doctoral degree. This can enhance both career prospects and expertise within technical and managerial sectors.

Best Scientists Citing Lutz Volkmann

Trending Scientists

Recently Published Articles